Exact correlation functions in an asymmetric exclusion model with open boundaries

B. Derrida , M. Evans

Asymmetric exclusion models are systems of particles hopping in a preferred direction with hard core interactions. Exact expressions for the average occupations have previously been derived in the one dimensional fully asymmetric case with open boundaries. Generalisations of these expressions are presented for all correlation functions. We discuss several continuous limits of the two-point correlation functions and show that due to the boundary conditions, long range correlations persist in the bulk. We also discuss the presence of these long range correlations in a related growth model.

Domains: Physics archives

B. Derrida, M. Evans. Exact correlation functions in an asymmetric exclusion model with open boundaries. Journal de Physique I, 1993, 3 (2), pp.311-322. ⟨10.1051/jp1:1993132⟩. ⟨jpa-00246724⟩